What is the Greatest Common Factor of 5320 and 5338?

Greatest common factor (GCF) of 5320 and 5338 is 2.

GCF(5320,5338) = 2

We will now calculate the prime factors of 5320 and 5338, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 5320 and 5338.

How to find the GCF of 5320 and 5338?

We will first find the prime factorization of 5320 and 5338. After we will calculate the factors of 5320 and 5338 and find the biggest common factor number .

Step-1: Prime Factorization of 5320

Prime factors of 5320 are 2, 5, 7, 19. Prime factorization of 5320 in exponential form is:

5320 = 2³ × 5¹ × 7¹ × 19¹

Step-2: Prime Factorization of 5338

Prime factors of 5338 are 2, 17, 157. Prime factorization of 5338 in exponential form is:

5338 = 2¹ × 17¹ × 157¹

Step-3: Factors of 5320

List of positive integer factors of 5320 that divides 5320 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 19, 20, 28, 35, 38, 40, 56, 70, 76, 95, 133, 140, 152, 190, 266, 280, 380, 532, 665, 760, 1064, 1330, 2660

Step-4: Factors of 5338

List of positive integer factors of 5338 that divides 5320 without a remainder.

1, 2, 17, 34, 157, 314, 2669

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 5320 and 5338. The biggest common factor number is the GCF number.
So the greatest common factor 5320 and 5338 is 2.

Also check out the Least Common Multiple of 5320 and 5338